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SEPTEMBER/OCTOBER 1996 CONOMIC PERSPECTIVES A review from the Federal Reserve Bank of Chicago A s u p p ly -s id e e x p la n a tio n o f E u ro p e a n u n e m p lo y m e n t P e r fo r m a n c e a n d a c c e s s to g o v e r n m e n t g u a ra n te e s : T h e c a s e o f s m a ll b u s in e s s in v e s tm e n t c o m p a n ie s Contents A supply-side explanation of European unem ploym ent...................................................................................... 2 Lars Ljungqvist and Thom as J. Sargent This article offers a supply-side explanation of striking patterns in unemployment rates and duration of unemploy ment in European countries, compared with other member countries of the OECD (Organization for Economic Cooperation and Development). The rise in long-term unemployment in Europe is attributed to the adverse incentive effects of generous welfare programs in times of economic turbulence. Perform ance and access to governm ent guarantees: The case of small business investm ent com panies...........................................................................................16 Elijah B rew er III, Hesna G enay, W illiam E. Jackson III, and Paula R. W o rth in g to n This article analyzes the performance of small business investment companies (SBICs) that are chartered and regulated by the Small Business Administration (SBA). Our principal finding is that poor performance over the 1986-91 period is associated with high usage of funds from the SBA. f,( ) i\( ) !Y11( j PLRSPK( j I IV KS Bident hael H. Moskow anior Vice President and D ire c to r o f Research t V’lliam C. Hunter . r aarch Department mcial Studies ; ' jglas Evanoff, Assistant Vice President >!. ;roeconomic Policy Charles Evans, Assistant Vice President | microeconomic Policy Janiel Sullivan, Assistant Vice President S -gional Programs William A. Testa, Assistant Vice President Administration Anne Weaver, Manager iditor Helen O’D. Koshy Production Rita Molloy, Kathryn Moran, Yvonne Peeples, Roger Thryselius, Nancy Wellman Septem ber/O ctober 1996, V olum e XX, Issue 5 ECONOMIC PERSPECTIVES is published by the Research Department of the Federal Reserve Bank of Chicago. The views expressed are the authors’ and do not necessarily reflect the views of the management of the Federal Reserve Bank. Single-copy subscriptions are available free of charge. Please send requests for single- and multiple-copy subscriptions, back issues, and address changes to the Public Information Center, Federal Reserve Bank of Chicago, P.O. Box 834, Chicago, Illinois 60690-0834, or telephone (312) 322-5111. Articles may be reprinted provided the source is credited and the Public Information Center is sent a copy of the published material. ISSN 0164-0682 A supply-side explanation of European unemployment Lars L ju n g q vist and T h o m as J. S arg e n t In this article, we offer a supply-side explanation of two striking patterns in Euro pean unemployment as com pared with that of other mem ber countries of the OECD (Organization for Economic Cooperation and Development).1 (See figure 1 and table 1.) The first pattern is that of average unemployment rates. These were similar for European and non-European OECD countries during the 1960s and 1970s, but in the 1980s and 1990s average unemploy ment in Europe has persistently exceeded the average in the OECD by about 2 percentage points. Second, since the 1980s, the average duration of unemployment in Europe has great ly exceeded that in the rest of the OECD. We attribute these patterns to the incentive effects on labor supply of unemployment compensa tion arrangements, which are far more gener ous in Europe than in the rest of the OECD.3 However, this view is challenged by the obser vation that unemployment compensation arrange ments have been more generous in Europe throughout the post-World War II period, during the first part of which European unem ployment was not higher than that for the rest of the OECD. We attribute the rise in unem ployment in Europe after 1980 to a change in the environment that required increased adapt ability of those workers forced to change jobs. We show that during tranquil times, with less need for adaptability, unemployment rates were the same with a generous unemployment compensation system as they would have been without such a system. However, in turbulent times, when greater adaptability is required, a generous unemployment compensation system 2 could propel the economy into a state of persis tently high unemployment.3 The economic environment is generally perceived to have become more turbulent in the last two decades. The OECD (1994) sums it up as follows: In the stable post-World War II eco nomic environment, standards of living in most OECD countries grew rapidly, nar rowing the gap with the area’s highest per capita income country, the United States. The OECD area’s terms of trade evolved favorably; trade and payments systems were progressively liberalized, without major problems; GDP and international trade grew strongly. In the 1970s, the economic environ ment became turbulent. The two oil price rises, in 1973/74 and 1979/80, imparted major terms-of-trade shocks, each of the order of 2 percent of OECDarea GDP, and each sending large rela tive price changes through all OECD economies. Exchange rates became vola tile after the breakdown of the Bretton Woods system of fixed exchange rates. Then there came, mainly in the 1980s, waves of financial-market liberalization and product market deregulation which greatly enhanced the potential efficiency of OECD economies, and also accelerated Lars Ljungqvist is a senior econom ist at the Federal Reserve Bank of Chicago and Thom as J. Sargent is professor of econom ics at the U niversity of Chicago, Senior Fellow at the Hoover Institutio n, S tanford U n iversity, and a con sulta nt to the Federal Reserve Bank of Chicago. The authors thank Cristina deNardi fo r assistance w ith the com putations. ECONOMIC PERSPECTIVES show that greater earnings instabil ity for individual workers accom Unemployment rate in OECD as a percent panied the widening earnings distri of the labor force bution in the U.S. labor market, percent especially in the 1980s. In fact, half of the increased variance in earnings for white males can be attributed to transitory shocks that die out within three years. Thus, we attribute the diverse unemployment rates observed in Europe and the rest of the OECD to the supply side of the labor market and a changing economic environment. We focus on how mechanisms intended to provide social insurance also encourage people not to work. A threat of adverse incentives haunts the deliv Sources: Data for 1961-77 are from OECD, L a b o r Force S ta tistics (1984) ery of social insurance and this and data for 1978-94 are from OECD, E m p lo y m e n t O u tlo o k (1995). threat becomes larger in times of economic turbulence. Social insurance works best when exposure to an the pace of change. All these develop event cannot be affected by the insured person ments challenged the capacity of econo (for example, acts of nature). Our starting point mies and societies to adapt. At the same is that unemployment is only partly an act of time, the need to adapt was heightened nature, beyond the control of the worker. A by pervasive technological change, espe worker makes efforts to leave a state of unem cially as the new information technolo ployment, and these efforts are influenced by gies appeared, and by the trend towards arrangements for compensating the worker for globalization. being unemployed. Gottschalk and Moffitt (1994) and Moffitt We use a search model that views the job and Gottschalk (1995) provide empirical evi market as an information processing machine. dence of increased economic turbulence. They FIGURE 1 TABLE 1 Standardized unemployment rates and long-term unemployment of 12 months or more in OECD L ong-term u n e m p lo y m e n t as percent of u n e m p lo y m e n t A verag e u n e m p lo y m e n t rate 1 974-79 1980-89 1970 1979 1989 France 4.5 9.0 22.0 32.6a 43.9 G erm any Italy Spain U nited K ingdom 3.2 6.6 5.2 5.0 5.9 9.5 17.5 10.0 8.8 28.7 51.2 49.0 70.4 32.8a 29.5 58.5 40.8 OECD Europe Total OECD 4.7 4.9 9.2 7.3 31.5b 26.6b 52.8 33.7 - 17.6 — - “Data for 1980. bAverage of data for 1979 and 1980. Sources: The data are from OECD, Em ploym ent Outlook (1991), table 2.7, except for long-term unemployment in 1970 which are from OECD, Em ploym ent Outlook (1983), table 24. FEDERAL RESERVE BANK OF CHICAGO 3 The market tracks and sorts infor mation used to match workers and jobs. Workers and jobs have diverse characteristics, and it is costly but valuable to find good matches. Market economies decentralize job matching, leaving firms to post vacancies and make offers and workers to accept or reject job offers. From both social and pri vate viewpoints, the state of unem ployment—waiting for something better—is partly an investment in the future. FIGURE 2 Wage offer distribution A search model of unemployment Our work extends John McCall’s (1970) basic search model to cap ture the effects we think differenti ate Europe from the rest of the OECD. Our model is more complicated than McCall’s and must be analyzed with a computer. However, many of the basic insights can be conveyed by describing first a graphical version of McCall’s model of a reservation wage, then a graphical version of a model of search intensity. McCall’s basic model confronts an unem ployed worker with choices about employment status and focuses on the incentives that the market and the state present to the worker. The model provides a framework for under standing how different policies affect incen tives and outcomes. Balancing benefits and costs of search Each period, an unemployed worker draws a wage offer from a probability distribution of offers and decides whether to accept or reject it. Figure 2 shows a distribution of wage offers. We let F{w) denote the probability that a ran domly drawn offer is less than or equal to a given wage, vv, and the wage offer exceeds w with probability 1-F(w). In the simplest mod el, an offer provides the worker with the oppor tunity to work indefinitely at the drawn wage. The model also assumes that an unemployed worker receives unemployment compensation in a fixed amount per period for as long as he or she is unemployed. The worker’s optimal policy is to set a reservation wage, at a level at which the worker is indifferent about accepting or rejecting an offer, then to reject offers fall ing short of the reservation wage, and to accept the first offer exceeding it. The model equates 4 being unemployed with waiting for an accept able offer. The worker compares the benefits of accepting an offer with the benefits of refus ing it, remaining unemployed, and searching again next period. The benefits of refusing comprise any unemployment compensation the worker receives this period, plus the option value of searching again next period. The option value covers the possibility that the worker might eventually draw a better wage offer in the next period or a subsequent period. Given a particular distribution of wage offers, we can compute and plot the present value of all benefits associated with a policy of setting a reservation wage of vv. To compute present values, we let r denote the one-period interest rate. Any benefits in the next period can then be expressed in today’s value (present value) when multiplying by the one-period discount factor, B = -----. Let vF(w) be the (1+r) total benefits of rejecting a job offer today, while setting a reservation wage of vv for ac cepting a job in the future. By accounting for the various possibilities and weighting the associated payoffs by the probabilities of oc currence, we can compute H'(vv) as follows: EJw) 1) H'(vv) = y + (1 - F'(vv)) ~^ + F(w)P*F(w), where y is the level of unemployment compen sation per period, and E- (w) is the expected, or ECONOMIC PERSPECTIVES average, value of all wages exceeding a reser vation wage of vv.4 The right side of equation 1 expresses the total benefits, ^(vv), as the sum of three terms: 1) y, the unemployment compensation to be received this period; 2) the expected present value from next period onwards of receiving a wage exceeding the reservation wage, £_(w)/r, weighted by the probability (1 - F(w)) of receiving an offer next period exceeding vv; and 3) the value of restarting the search process next period, discounted one period by (3, and weighted by the probability F(w), of not draw ing an acceptable offer next period. Equation 1 can be rearranged to become y + ( l -F(vv)) 2) 'P (w ) = E-(w) r Each curve shows how the benefits of the search vary with the reservation wage. For low values of the reservation wage, the benefits increase as the reservation wage increases, but they eventually fall for higher values of the reservation wage. In other words, the unem ployed worker is better off choosing a reserva tion wage that is neither too low nor too high. A too low reservation wage is not optimal, since the worker would, on average, do better by searching more for a somewhat higher wage. On the other hand, a too high reserva tion wage does not maximize benefits, since the worker is then, on average, spending too much time pursuing the rare opportunity of getting a very high wage. By setting the deriv ative of H'(vv) to zero, we find that the optimal value of the reservation wage must satisfy 1 - (3F(vv) The optimal choice of reservation wage, vv, is the one that maximizes total benefits, H^vv). For the same wage distribution shown in figure 2, figure 3 plots the right-hand side of equation 2 for unemployment compensation, y, equal to zero and greater than zero. Since unemployment compensation enters positively in equation 2, the curve with some unemploy ment compensation is higher than the curve without any unemployment compensation. 3) H'(vv) = vv(l+r) The term vv(1 +r) is the benefit of accept ing a wage vv immediately (that is, the present value of receiving a wage vv today and for all future periods). Thus, equation 3 says that the worker optimally sets the reservation wage to equate the total benefits of further search to the total benefits of immediately accepting a wage offer equal to the reservation wage. In other words, the worker is indifferent between continuing the search FIGURE 3 and accepting a wage offer that is Expected present value of payoffs for different exactly equal to the optimal reser reservation wages with and without vation wage. Figure 3 confirms unemployment compensation equation 3 graphically. In figure present value of payoffs 3, for each level of unemploy ment compensation, the curve showing ^ | reservation wage Notes: Stars indicate the optim al reservation w age for each unem ploym ent com pensation regim e. The dashed line shows the present value of different constant w age streams beginning today. FEDERAL RESERVE BANK OF CHICAGO ^ intersects total benefits vF(vv) at the highest value of ^(vv) (as indicated in the figure by a star). Figure 3 shows how an increase in unemployment compensation increases the res ervation wage, because it shifts upward the curve of benefits of further search. The reservation wage deter mines the probability of rejecting a job offer by summing probabili ties attached to wage offers below the reservation wage (see figure 2). 5 The rejection probability F(w) determines the mean duration of unemployment via the formula Duration = ----- ?------ . 1 - F(w) Increases in F(w) increase the mean duration of unemployment. We study how particular policy and environmental features impinge on the reservation wage and the duration of unemployment.5 Variable search intensity The basic search model assumes that one offer arrives per period, irrespective of the intensity of the worker’s job search. We modi fy the model to let the worker influence the probability of getting a job offer by selecting the intensity of his or her search. To indicate the main factors affecting search intensity, we temporarily assume that the wage distribution is concentrated at a point, denoted w, so that all jobs pay the same wage w. With this assump tion, the only uncertainty becomes whether a job offer arrives in the period. We suppose that a worker chooses a prob ability, n, that an offer will arrive in a given period, by incurring a utility cost, c(7t), per period. We assume that the cost function c(7t) has positive and increasing marginal costs: c(7t) = 0, c'(n) > 0, > 0. If an unem ployed worker decides to search this period, he or she receives unemployment compensation and incurs search costs of c(7t) this period. The worker then receives an offer with probability 7t at the beginning of next period or no offer with probability (1-71). We let Q(7t) denote the expected present value of searching with inten sity 7t. We can compute 4) Q(7C) = —C(7C) + Y+ 71 — + (1—7t) (3Q(7t). The right side of equation 4 expresses the benefits associated with search intensity n as the sum of four terms: 1) -c(n), the negative value of the search cost in the current period; 2) y, the unemployment compensation to be received in this period; 3) the present value from next period onwards of receiving a wage probability (1- 7t) of not drawing an offer next period. Equation 4 can be rearranged to become -c(7t) + y + 7t — The optimal choice of probability, 7t, is the one that maximizes total benefits, Q(n). Figure 4 displays the three components of the right side of equation 5 as functions of the probability of getting a wage offer, while figure 5 displays their sum for two different levels of unemployment compensation, y, equal to zero and greater than zero. (These graphs assume the particular cost function c(n) = 50k 4.) As shown in figure 4, for a given level of unemployment compensation, the expected present value of received unemployment compensation decreas es as the probability of an offer increases. Moreover, the higher the level of unemploy ment compensation, the higher this curve in figure 4. It follows that the higher the level of unemployment compensation, the lower the probability of getting a wage offer (correspond ing to a lower search intensity) that maxi mizes the total benefits. Figure 5 shows how the optimal setting of the probability declines as unemployment compensation increases. (We mark the optimal probability for each level of unemployment compensa tion with a star.) In this setting, the average duration of unemployment is just . By causing the probability (tu) to decrease, increases in unem ployment compensation cause the mean dura tion of unemployment to rise. Similar forces operate in the more general model when the distribution of offers is nontrivial. The main difference is that the value of a wage offer in the above equations must be replaced with a value that depends on the worker’s reservation wage, which is also influenced by the level of unemployment compensation. This is the case we are interested in. Extensions of the basic search model receiving an offer next period; and 4) the value of restarting the search process next period, discounted one period by [5, and weighted by the To construct our theory of European un employment, we add three features to the basic search model outlined above—job termination, human capital/skills, and eamings-dependent unemployment compensation. Job termination—We have adjusted the option value of searching for a job to reflect 6 ECONOMIC PERSPECTIVES weighted by the probability, n, of We let human capital appreciate when the worker is employed, Expected present values of wages, search costs, and let it depreciate gradually and unemployment compensation during spells of unemployment. (as given by the three components in equation 5) Human capital/skill levels differ expected present values entiate workers from each other; unemployed workers with differ ent human capital levels set dif ferent reservation wages and search intensities. We specify a given number of potential levels of human capi tal or skills, ordered from lowest to highest. We also specify two sets of transition probabilities, describing the change in skills over time. For example, we would expect a worker’s skills to improve during periods of employment and, conversely, to deteriorate during periods of unemployment. the possibility that an existing job terminates We define a worker’s total earnings as the against the will of the worker. Exposing the product of a base wage, to be drawn from a given wage offer distribution, and the worker’s worker to a small probability of involuntary skills. During a spell of employment, a worker job loss each period tends to diminish the op tion value of a further job search, and can di who starts from a low level of skills can expect minish the reservation wage. his or her earnings to grow gradually as his or Human capital or skills—We have made her skills grow, even though the base wage is earnings depend on human capital or skills. set once-and-for-all at the beginning of the current spell of employment. The worker takes into account the FIGURE 5 likely growth of earnings in for mulating the reservation wage Expected total payoffs with and without unemployment compensation and search intensity. The worker (as given in equation 5) also takes into account the way unemployment compensation expected present value of payoffs depends on past earnings. Earnings-dependent unem ployment compensation—The basic model has a fixed level of unemployment compensation, independent of the worker’s earn ings during previous employment. We modify this feature by linking unemployment compensation to earnings attained on the previous job. This means the option value of the search will depend on the worker’s current skill level, the effect of prospective employment status on the worker’s skills, and Note: Stars indicate the optim al search intensity for each unem ploym ent com pensation regim e. the level of the worker’s previous earnings. The effect on this option FEDERAL RESERVE FIGURE 4 BANK OF CHICAGO 7 value of unemployment compensation and the latter’s dependence on past earnings form an important part of our analysis. Representing economic turbulence Our model contains two types of parame ters that can be used to represent labor market turbulence, a parameter representing firing or job dissolution and parameters governing the rate at which human capital depreciates while unemployed. We will use one particular parameter from the latter set to measure turbu lence, namely a parameter that sets the one time depreciation in skill level that an employed worker experiences upon becoming unem ployed. In tranquil times, we let the worker experience no immediate depreciation in human capital, but in turbulent times, we expose the worker to a one-time reduction in human capital. This is our way of roughly capturing the dis parity in skills used in different jobs. In tran quil times, skills are more transferable than in turbulent times, when job descriptions change more quickly. Consequences of additional features The modifications of the basic model, in our view, provide a more realistic picture of the incentives unemployed workers face. Given the possibility that a job may terminate, the unemployed worker takes into account not only current unemployment compensation, which is linked to past earnings, but also the fact that future unemployment compensation will be linked to future earnings, which depend on the worker’s base wage and human capital level. Because the human capital level deteriorates with the passage of time spent unemployed, the worker will balance the benefits of waiting for a higher base wage against the prospects of further deterioration of human capital while unemployed. The balance will depend on the level of unemployment compensation. High unemploy ment compensation sets the following trap. Consider a worker who had relatively high earnings before losing a job and, therefore, qualifies for a high level of unemployment compensation. This worker’s reservation base wage and search intensity each depend on his or her human capital level. Early in a spell of unemployment, the worker searches intensive ly, and sets a reasonable reservation base wage, because his or her earnings are the product of that wage and the human capital level and, 8 even for typical wages, the associated earnings compare favorably with unemployment com pensation. However, if the worker remains unemployed for a while and experiences a deterioration in human capital, the incentives change adversely. The worker’s unemploy ment compensation remains high (tied to previ ous earnings), but for any given prospective draw from the base wage distribution, the earn ings are lower because of diminished human capital. Because the benefits of searching have declined relative to the compensation for re maining unemployed, the worker will tend to search less intensively and to set a higher reser vation base wage. This behavior, in turn, will diminish the worker’s probability of leaving unemployment and increase the mean duration of unemployment. Human capital acquisition can also repre sent a source of quits or voluntary separations. A worker with low human capital may accept a lower base wage than one who has higher hu man capital. Having subsequently experienced growth in human capital, the worker may find it optimal to quit the job and search for a high er base wage to capitalize on his or her higher human capital. Equilibrium: Many workers The search model captures the experiences of an individual worker as time and opportuni ties pass. We can use it as a building block to model the behavior of a large number of ex ante identical but ex post diverse workers composing a complete labor market. To build a model of the labor market, we reinterpret the search model’s individual descriptive statistics—average dura tion of unemployment, average accepted wage, average times between incidents of quitting or being fired—as applying to the average at any point in time of a large number of statistically identical individuals. Imagine the labor market as a set of lakes connected by inlet and outlet streams (see figure 6). The volume of water in each lake represents the number of people in a particular labor market state (for example, employed and unemployed with different levels of human capital), and the flows between lakes represent rates of hiring, firing, and quitting. The system is in equilibrium when all lake levels are con stant over time, which means that inflows balance outflows for each lake. The rates of inflow and outflow are the critical determinants ECONOMIC PERSPECTIVES of the lake levels. The individual search model lends itself to becoming a model of these inflow and outflow rates. For example, we can interpret the probability of job acceptance as determining the rate of flow from a state of unemployment to a state of employment. Within such a model, government-supplied unemployment compensation gives rise to expenditures that must be financed. In particu lar, the size of the unemployment lake (or lakes) determines the total volume of government unemployment compensation payments. We suppose that these are financed from income taxes and that, in a state of equilibrium, govern ment expenditure rates and tax rates must be set so that the government budget balances. Numerical examples We use numerical simulations to illustrate the equilibrium forces at work in our aggregate model of the labor market. Our results are mainly driven by two sets of parameters—the skill technology and the unemployment com pensation scheme.6 Our model includes 21 skill levels and assumes that all new entrants to the labor mar ket start out with the lowest skill level. After each two-week period of employment that is not followed by a layoff, the worker has a one in four chance to increase skills by one level; FEDERAL RESERVE BANK OF CHICAGO otherwise, the skill level remains unchanged. Employed workers who have reached the highest skill level retain those skills until becoming unemployed. It will take a worker who is continuously employed, on average, about three years and one month to reach the highest skill level. We assume that the stochastic depre ciation of skills during unemploy ment is twice as fast as the accu mulation of skills. That is, after each two-week period of unem ployment, there is a one in two risk that the worker’s skills de crease by one level; otherwise, they remain unchanged. Once the lowest skill level is reached through depreciation, the worker remains at that level until becoming em ployed. Finally, in a period of being laid off, it is assumed that the worker keeps the skill level from the last period of employment. As pointed out above, our definition of tranquil economic conditions implies that skill depreciation is related only to the time spent unemployed; there is no unusual loss of skills associated with the layoff itself. Figure 7 depicts a random realization of skills for a new entrant into the labor market. The vertical dotted lines separate periods of employment and unemployment. According to the figure, the worker’s first job lasts for almost two years, during which he or she accumulates considerable skills. However, the following 3.5 month spell of unemployment is associated with skill depreciation. After finding a second job, the worker remains there for three years and attains the highest skill level. Following another short spell of unemployment, the worker finds a third job and regains the skills lost during unemployment. Concerning the unemployment compensa tion scheme, we examine the outcome for two economies, one with unemployment insurance and one without. The economy with unem ployment insurance is called the welfare state (WS) and has a 70 percent replacement ratio, that is, unemployment benefits cover 70 percent of lost earnings for laid off workers.7 The econ omy with no unemployment insurance is called the laissez-faire (LF) economy. 9 proportion of long-term unem ployed at any point in time. In Random realization of a worker’s skill level the WS economy, 14.0 percent of under tranquil economic conditions currently unemployed workers skill level have unemployment spells to date greater than or equal to six months (and 5.1 percent greater than or equal to 12 months), compared with 4.7 percent (0.3 percent) in the LF economy. However, in absolute numbers these long-term unemployed workers constitute a very small portion of the total labor force; a 3.3 percent income tax is sufficient to finance the unemployment insurance scheme in the WS economy. To understand why the equi libria in these two economies are Note: The vertical dotted lines separate periods of em ploym ent (skill virtually the same, we make a accum ulation) and unem ploym ent (skill depreciation). connection between the workers’ behavior, as discussed earlier, and the economy’s aggregate perfor mance. Let us track a large group of workers Tranquil economic times Table 2 reports on the equilibria under who lost their jobs after having attained the tranquil economic times for the WS economy highest skill level. Although we can not deter and the LF economy. It might be surprising to mine precisely the fate of each individual un see that the economies look very similar in employed worker (since luck plays a role in terms of unemployment levels and duration. what wage offers an individual obtains), we The unemployment rate is only eight-tenths of can compute average outcomes for these work a percentage point higher in the WS economy. ers as a group. Specifically, at different unem The average unemployment spell is 11.6 weeks ployment durations, we can estimate the hazard in the WS economy versus 9.4 weeks in the rate of gaining employment, that is, the pro LF economy. However, the WS economy has portion of still unemployed workers who gain considerably more dispersion in the duration employment in the current two-week period of unemployment spells, as indicated by the (see figure 8). As shown in figure 8, the hazard of gaining employment in TABLE 2 the LF economy is first increasing and then decreasing. These dy Equilibria in WS economy and LFeconomy in namics are completely driven by tranquil economic times changing reservation wages over WS LF the unemployment spell. Initial ly, these workers with the highest U n em p loym e nt rate (percent) 7.11 6.33 skill level have nothing more to Average duratio n of 9.4 un em p loym e nt (weeks) 11.6 gain in terms of skills so they find Percent of unem ployed it optimal to search for a very 4.7 w ith spells so far > 6 m onths 14.0 good wage, that is, they choose Percent of unem ployed high reservation wages. As time w ith spells so far > 12 m onths 5.1 0.3 goes by, some workers are unlucky Tax fina ncing un em p loym e nt in their job search and their skills benefits (percent) 3.3 n.a. start depreciating due to unem Note: n.a. indicates not applicable. ployment. It then becomes opti mal for them to choose a lower 10 FIGURE 7 ECONOMIC PERSPECTIVES find jobs paying more than their current replacement ratio of 70 Hazard of gaining employment as a function percent. But after this initial of the length of the unemployment spell period, the hazard of gaining hazard of gaining employment employment falls dramatically in the WS economy. Long-term unemployed workers in the WS economy become disillusioned when they experience skill depre ciation. In other words, the pas sage of time makes the prospect of finding a job less attractive, compared with living on unem ployment benefits. These workers hold out for a very good wage offer before giving up their gener ous benefits (relative to their currently low skills). Since it is rare to find such good wage offers, Notes: W e assume an initial skill level equal to the highest one. The curves they reduce their investment in show the fraction of still unem ployed workers who gain em ploym ent in any given tw o-w eek period after the layoff, w ith the w orkers' last earnings job search, that is, they reduce the belonging to the most com m on income class. intensity of their job search. Under the assumed tranquil economic conditions, these incentive problems reservation wage, thereby increasing the in the WS economy have only a small impact chance of finding an acceptable job and reduc on the aggregate outcome. The average dura ing the risk of further skill deterioration. This tion of unemployment in the WS economy is accounts for the increasing segment of the only 11.6 weeks, as shown in table 2. So most hazard function in figure 8. However, a very unemployed workers find jobs before becom small group of the unemployed workers in the ing disillusioned. LF economy will find themselves unemployed for more than a year (0.3 percent of all unem A transient economic shock ployed, as shown in table 2). These workers The unemployment dynamics described will once again find it optimal to choose higher above make the WS economy more vulnerable reservation wages; because they have already to economic shocks than the LF economy. lost most of their skills, the cost of searching This can be demonstrated by examining the for a better wage has actually gone down. economies’ behavior in response to a transient Consider a similar group of laid off work unemployment shock. We assume that the ers in the WS economy. Because these work normal layoff rate increases sharply (twentyfold) ers receive unemployment benefits with a in a single two-week period, and that everyone replacement ratio of 70 percent, we have to who becomes unemployed in this particular make an assumption about their lost earnings. period immediately loses 75 percent of his or (As mentioned earlier, their choice of reserva her skills. After this one-period shock, both tion wages and search intensities will depend economies revert to their normal layoff and on their unemployment compensation.) Figure skill depreciation/accumulation rates. Policy 8 depicts the hazard of gaining employment in parameters, such as taxes and the unemploy the WS economy, under the assumption that ment compensation program, are kept constant lost earnings were in the most common income throughout the experiment. It follows that the class. Note that the LF and WS curves in figure 8 economies will eventually return to the equilib are remarkably similar during the first four ria in table 2.8 months. Despite their unemployment compen As shown in figure 9, the shock causes sation, workers in the WS economy choose to unemployment rates in both economies to jump search for and accept jobs in similar ways to initially by about 16 percentage points. Howev those in the LF economy. They are eager to er, in the LF economy, the high unemployment FEDERAL RESERVE FIGURE 8 RANK OF CHICAGO 11 rate dies out quickly because unemployed workers search intensively for jobs paying less than their previous employment. In contrast, workers in the WS economy enter a prolonged period of unemployment because, given their depreciated skills, they have difficulty finding jobs that they prefer to their unemployment compensation (which is based on past earn ings). Besides setting high reservation wages, 12 these workers also reduce search intensities to balance the small prospective gains with the utility costs of search. Panels A and B of figure 10 show how long-term unemploy ment gradually emerges after the shock. At any point, the figures decompose unemployment into the fraction of unemployed work ers who have been unemployed for at least one year, those who have been unemployed for be tween six months and one year, and those who have been unem ployed for less than six months. Not surprisingly, both of the first two measures of unemployment fall at the time of the shock, when there is a flood of newly laid off workers. The two mea sures then rise predictably after six months and 12 months, respectively. The problem of long-term unemployment in the WS economy shows up starkly in panel A of figure 10. In contrast, the LF economy (panel B) has a much lower incidence of long-term unemployment, and there is hardly any persistence in the fractions of long-term unemployed, com pared with the WS economy. ECONOMIC PERSPECTIVES that a worker draws a new skill level from one of the distribu tions in figure 11. The range of each distribution starts at the lowest possible skill level and ends at the worker’s skill level before the layoff. In other words, the worker stands to lose some of his or her skills immediately and a few workers may even draw a significantly lower skill level in the left-hand tail of the distribu tion. During the unemployment spell itself and at times of con tinuing employment, skills depre ciate and accumulate as before. The new skill technology is illustrated in figure 12 analogously to figure 7. In fact, both figures depict exactly the same realization of the direction of skill movements during unemployment spells and at times of continuing employment. Turbulent economic times The only difference is that the new skill technolo Below, we show how the poor unemploy gy may give rise to additional skill losses exactly ment performance of the WS economy in re at the time of layoffs. As can be seen, the extra sponse to a transient economic shock will persist skill loss is pretty modest at the first layoff, but during times of ongoing economic turbulence. the second time around the skill loss is close to We define economic turbulence in terms of the 30 percent of the worker’s accumulated skills. mean and variance of skill losses associated The extra skill losses occasionally associated with layoffs. At the time of a layoff, we assume with job losses (figure 12) affect the unemployed worker’s search intensity and reservation wage, as FIGURE 12 discussed in the case of a transient Random realization of a worker’s skill level under unemployment shock above. This turbulent economic times means that the length of unem skill level ployment spells can vary between figures 7 and 12 because of the different incentives confronting these two unemployed workers. We want to know how these changes will affect economy-wide average rates of unemployment and long-term unemployment in the WS and LF economies. To address this question, we compute equilibria for each degree of economic turbulence in Figure 11. We use the equilibria under tranquil economic condi tions (discussed above) as a bench Note: The vertical dotted lines separate periods of em ploym ent (skill mark case.9 As shown in figure 13, accum ulation) and unem ploym ent (skill depreciation). unemployment remains virtually FEDERAL RESERVE BANK OF CHICAGO 13 FIGURE 13 Unemployment rates under different degrees of economic turbulence unemployment rate 0 .01 .015 degree of economic turbulence .0175 flat in the LF economy in response to increased economic turbulence, while both the unemploy ment rate and the incidence of long-term unem ployment rise sharply in the WS economy (in the LF economy, long-term unemployment remains low and therefore is not visible in figure 13). The explanation of these patterns is essentially the same as that for the responses to a transient economic shock. Moreover, the pressure to fi nance the unemployment compensation scheme in the WS economy naturally increases with economic turbulence. Thus, the tax rate of 3.3 percent required to finance unemployment com pensation under tranquil conditions (see table 2) increases to 9.1 percent under the highest degree of economic turbulence (indexed by .0175). Conclusion Our analysis suggests that high unemploy ment rates in Europe can be attributed to the adverse incentive effects of generous welfare programs in times of economic turbulence. According to this view, the smooth perfor mance of the European welfare states up to the 1970s was due to tranquil economic times, while the current unemployment crisis has been brought about by a change in the econom ic environment that required increased adapt ability of the workers forced to change jobs. Since generous benefits based on past earnings greatly diminish the incentives for individual workers to accept a transition to a new job, where skills once again have to be accumulat ed, our model predicts a high incidence of long-term unemployment in the welfare states. In fact, more than half of all those currently unemployed in Europe have been out of a job for more than a year. Our analysis highlights the need to reform European social insurance programs. This is a real challenge, because a more turbulent eco nomic environment has both reduced the effec tiveness of existing social safety nets and in creased the perceived need for social insur ance. But the fact remains that it is more im portant than ever to incorporate incentives to work in the design of social safety nets. Fail ure to do so threatens to produce high and long-term unemployment and needlessly to waste human capital. NOTES 'This article summarizes our research on European unem ployment, and a more detailed account can be found in Ljungqvist and Sargent (1995). T he notion of unemployment compensation should be interpreted broadly in our framework. The welfare states have various programs assisting individuals out of work. For example, totally disabled persons in the Netherlands in the 1980s were entitled to 70 percent (80 percent prior to 1984) of last earned gross wage until the age of 65— after which they moved into the state pension system. At the end of 1990, disability benefits were paid to 14 per cent of the Dutch labor force and 80 percent of them were reported to be totally disabled. (See Organization of Economic Cooperation and Development 1992). Tn contrast to our labor supply explanation, earlier theories of European unemployment have focused on a shortfall in 14 the demand for labor due to insufficient aggregate de mand (Blanchard et al. 1986), trade union behavior driven by insider-outsider conflicts (Blanchard and Summers 1986; Lindbeck and Snower 1988), hiring and firing costs (Bentolila and Bertola 1990), and capital shortages (Malinvaud 1994). Our analysis will instead bear out the assertion by Layard, Nickell, and Jackman (1991, p. 62) that the “unconditional payment of benefits for an indefi nite period is clearly a major cause of high European unemployment.” However, our model differs sharply from their framework, which emphasizes hysteresis and nominal inertia in wage and price setting. 4Formally, the conditional expectation of wages exceeding a reservation wage, w, is given by f_w f(w )dw ECONOMIC PERSPECTIVES where f(w) is the probability density function for wage offers, and F(w) = Prob(w < vv) = j0f{w)dw is the cumu lative density function. 5A troublesome feature of the basic search model is the existence of the always rejected part of the wage distribu tion beneath the reservation wage. The presence of such offers justifies the time the worker waits for higher ones. But if such offers are always rejected, why do firms continue to make them? This conceptual problem has been circumvented by reinterpreting the wage as an overall measure of worker-firm job match quality. Many features influence the quality of matches between hetero geneous collections of workers and jobs. The idea is to reinterpret the wage as a match parameter that aggregates these diverse features of a job-person match. Thus, a worker-firm pair is actually jointly drawing a match quality each time an unemployed worker receives a job offer. We still interpret this parameter as the wage of the worker, but regard it as compensation for a particular match quality. This interpretation leaves room for offers that are rejected by one worker to be accepted by another, because they are different matches. 6For a detailed discussion of all parameter values in our model, see Ljungqvist and Sargent (1995). ’Workers who have quit their jobs and new entrants to the labor market are not entitled to any benefits in our model. Moreover, the insured unemployed workers are disquali fied from receiving benefits if they are discovered turning down job offers that would have earned them at least as much as their current unemployment compensation. 8We assume that the extra government expenditures on unemployment compensation in the WS economy are financed by levying lump-sum taxes, that is, nondistor tionary taxes. 9The tranquil economic environment has a zero variance according to our definition of economic turbulence. Recall that our earlier assumption was that a newly laid off worker kept his or her skills from the last period of employment. REFERENCES Bentolila, Samuel, and Giuseppe Bertola, “Firing costs and labor demand: How bad is Eurosclerosis?” Review of Economic Studies, Vol. 57, No. 3, July 1990, pp. 381^102. Ljungqvist, Lars, and Thomas J. Sargent, “The European unemployment dilemma,” Feder al Reserve Bank of Chicago, working paper, No. 17, 1995. Blanchard, Olivier J., and Lawrence H. Sum mers, “Hysteresis and the European unemploy ment problem,” in NBER Macroeconomics Annu al, Stanley Fischer (ed.), Cambridge, MA: MIT Press, 1986, pp. 15-78. Malinvaud, Edmond, Diagnosing Unemploy ment, Cambridge, UK: Cambridge University Press, 1994. Blanchard, Olivier, Rudiger Dornbusch, Jacques Dreze, Herbert Giersch, Richard Layard, and Mario Monti, “Employment and growth in Europe: A two-handed approach,” in Restoring Europe's Prosperity: Macroeconomic Papers from the Center for European Policy Studies, Olivier Blanchard, Rudiger Dornbusch, and Richard Layard (eds.), Cambridge, MA: MIT Press, 1986, pp. 95-124. Gottschalk, Peter and Robert Moffitt, “The growth of earnings instability in the U.S. labor market,” Brookings Papers on Economic Activi ty, No. 2, 1994, pp. 217-272. Layard, Richard, Stephen Nickell, and Rich ard Jackman, Unemployment: Macroeconomic Performance and the Labor Market, Oxford, UK: Oxford University Press, 1991. Lindbeck, Assar, and Dennis J. Snower, The Insider-Outsider Theory of Unemployment, Cambridge, MA: MIT Press, 1988. FEDERAL RESERVE BANK OF CHICAGO McCall, John J., “Economics of information and job search,” Quarterly Journal of Economics, Vol. 84, No. 1, February 1970, pp. 113-126. Moffitt, Robert A., and Peter Gottschalk, “Trends in the autocovariance structure of earn ings in the U.S.: 1969-87,” Brown University and Boston College, working paper, 1995. Organization for Economic Cooperation and Development, Employment Outlook, Paris: OECD, 1995. _________ , The OECD Jobs Study: Facts, Analysis, Strategies, Paris: OECD, 1994. _________ , OECD Economic Surveys—Nether lands, Paris: OECD, 1992. _________ , Employment Outlook, Paris: OECD, 1991. _________ , Labor Force Statistics, Paris: OECD, 1984. _________ , Employment Outlook, Paris: OECD, 1983. 15 Performance and access to government guarantees: The case of small business investment companies Elijah B re w e r III, Hesna G en ay, W illia m E. Ja ck so n III, and P aula R. W o rth in g to n In 1953, Congress established the Small Business Adminis tration (SBA) to ensure the provision of adequate capital for the formation and growth of the nation’s small businesses.1 Small busi ness investment companies (SBICs) are SBAchartered and -regulated financial intermediar ies that finance the activities of small business through equity investments and loans. While traditional financial intermediaries such as commercial banks provide loans to businesses, they do not, in general, provide equity financ ing. However, SBICs can simultaneously hold the equity of and lend to a client commercial firm. SBICs obtain their funds primarily from two sources—privately invested capital and long-term debentures (leverage) guaranteed by the SBA. In this article, we analyze the perfor mance of 280 SBICs that were active at the beginning of 1986. Of these 280 SBICs, over half, or 56 percent, had failed by 1993. As of September 1995, 189 SBICs were in liquidation, with SBA-guaranteed debentures outstanding of over $500 million.2 The U.S. General Account ing Office (GAO) estimated that only $200 million would ultimately be repaid (United States General Accounting Office 1995). While these absolute dollar losses are small, the failure rates and the associated losses per dollar of guaranteed debentures are quite high compared with those of banks and thrifts over the 1980-91 period.3 Because the SBA, a government agency, provides funds directly to SBICs and serves as a financial guarantor of E lijah B rew er III, Hesna G enay, and Paula R. W o rth in g to n are e co n o m ists at the Federal Reserve Bank o f Chicago and W illia m E. Jackson III is an assista nt p ro fe sso r at the U n iv e rs ity of N orth C a rolina at Chapel H ill. The au thors w ould like to thank Julian Zahalak fo r his excellent research assistance, the S m all Business A d m in istration fo r providing the data, Leonard W. Fagan, Jr., fo r providing detailed in fo rm atio n on the SBIC program , and Anil Kashyap and David M arshall fo r com m ents on earlier drafts of this paper. 16 ECONOMIC PERSPECTIVES securities sold by SBICs to third parties, tax payers’ funds are at risk. As a result, policy makers and taxpayers have a stake in evaluat ing the economic performance of SBICs. Such a study can shed light on the impact of govern ment subsidization and loan guarantees on the behavior of financial intermediaries. Furthermore, the SBIC program enlarges the permissible activities and investments of banking organizations beyond those typically permitted for their commercial bank and ven ture capital units. Banking organizations own and operate SBICs, as well as other venture capital firms. While traditional bank-owned venture capital units can only own up to 5 percent of a small firm’s equity, SBIC units of banking organizations can own up to 50 per cent of a small firm’s equity. Thus, the SBIC program gives banking organizations a way to hold a substantial amount of commercial firms’ equity while simultaneously holding their debt. Learning about how bank-owned SBICs oper ate may shed light on what could happen if the restriction on bank ownership of shares in commercial enterprises were relaxed. In previous research, Brewer and Genay (1994, 1995) studied the profitability of SBICs and documented a negative relationship be tween their use of SBA leverage and returns on equity (ROE). In this article, we extend this work to consider the relationship between various financial factors and SBIC failure, as well as the relationship between those factors and ROE, with special attention paid to the roles played by SBA leverage and SBICs’ investment choices. We find that the relation ship between failure and SBA leverage is posi tive and that between ROE and SBA leverage is negative. Poor short-term performance, as measured by ROE, does not necessarily imply losses to the taxpayers. Losses are incurred only when an SBIC experiences sustained losses over time and is unable to meet its obli gations. For this reason, we also use a long term measure of SBIC performance, specifical ly whether an SBIC fails or survives, to assess the relationship between SBA funding and the performance of SBICs. Because Brewer and Genay (1994, 1995) found evidence that bank-owned SBICs dif fered significantly from nonbank-owned SBICs, we also consider whether the SBA leverage-performance relationship differs between bank-owned and nonbank-owned SBICs. We find that, compared with nonbank-owned SBICs, bank-owned SBICs had higher ROEs and lower SBA leverage use, and their investments in small businesses were more likely to be in equity form and to be intended for projects requiring careful monitoring, such as research and development and marketing projects. We also find that the significant negative relationship between SBA leverage and ROE differs between the two types of SBICs. When leverage is measured by an SBIC’s ratio of SBA-guaranteed debt to total assets, both bank- and nonbank-owned SBICs exhibit a strong, negative relationship between ROE and leverage—high leverage use is associated with low ROE. Using an alternative leverage measure, the ratio of SBA-guaranteed debt to private capital, yields similar results. But when leverage is mea sured by the change in SBA funding relative to assets, the negative relationship remains significant only for nonbank-owned SBICs. The lack of correlation between leverage and ROE for bank-owned SBICs holds, even FEDERAL RESERVE BANK OF CHICAGO when we examine only those bank-owned SBICs that have positive SBA leverage. This suggests that the perceived costs and benefits of using SBA subsidies differ across SBIC types. Our findings for SBIC failure rates are broadly similar to those for ROE. In particu lar, we find that the likelihood of an SBIC failure increases with SBA leverage, though our results are somewhat sensitive to the defi nition of failure. Our findings that ROE decreases and the likelihood of failure increases with SBA lever age are consistent with 1) the notion that risky SBICs are more likely to make greater use of SBA funding than other investment companies (adverse selection)-, 2) the tendency for firms with government liability guarantees to invest excessively in risky assets (moral hazard)-, 3) the prepayment effect, stemming from an SBA restriction that limited the ability of SBICs to refinance their SBA debt; and 4) the mismatch effect resulting from using SBA debt to finance equity investments. We offer some evidence on these explanations, but we cannot defini tively quantify the relative importance of each. However, our research suggests that govern ment subsidization of activities to fund small businesses can have unintended consequences if the assets financed by the subsidized interme diaries are riskier than they would be in the absence of the subsidies. The SBIC program The SBIC program was established in 1958 and is administered by the SBA.4 The goal of the program is to encourage the provi sion of long-term capital to small firms, de fined as firms having less than $6 million in net worth or a two-year average net income of less than $2 million. A company can be licensed as an SBIC if it satisfies a minimum capital requirement of $1 million. SBICs can be orga nized as corporations or partnerships and can be owned by individuals or other firms, includ ing banking organizations. Investment companies are eligible to receive subsidized funds through the issuance of de bentures which are purchased directly or are guaranteed by the SBA. These debentures are usually of ten years duration. Each SBIC can receive up to $3 in SBA funds for every $1 of private capital, up to a maximum of $35 million.5 The SBA’s creditor position on debentures is fully 17 subordinated to all third-party creditors of the SBIC. Furthermore, if an SBIC is organized as a partnership, the general partner of the firm, in general, is not liable for the debt.6 However, as a condition of receiving funds, the SBA may require a general partner to guarantee the repay ment of SBA debt. Finally, during the period under review, SBICs could not prepay their SBA-held or -guaranteed debt during the first five years of issue. SBICs provide both equity capital and long-term loans to small firms. However, they are subject to certain restrictions on their investments. SBICs cannot invest in certain sectors, such as real estate, or foreign firms, and, in general, they cannot provide short term financing. If an SBIC makes an equity investment in a small firm, it cannot acquire a controlling interest without a plan of divesti ture.7 SBICs owned by banking organizations face the same regulations on equity invest ments as other SBICs. The SBA also places restrictions on the maturity and interest rate of loans made by SBICs. The minimum maturi ty allowed is five years; the maximum interest rate that can be charged to small businesses is based on the interest rate on debentures issued by the SBICs.8 SBICs are subject to annual examinations by the SBA and certain reporting requirements, such as reporting their financial condition annually. They also are required to provide documentation on each investment they make in a small business. For instance, SBICs are required to provide information certifying that the firm meets SBA size standards and describ ing the financial condition of the firm. In addition to these oversight regulations, SBICs using SBA leverage are subject to capi tal requirements. The SBA determines that an SBIC has serious financial problems if the sum of its net realized losses plus net unrealized losses on securities held exceeds 50 percent of its capital. If an SBIC is capital impaired by this test, the SBA gives the firm an opportunity to correct its weak capital condition. If the SBIC fails to correct the capital impairment or defaults on its payments, the entire SBA debt may be declared immediately payable. Under these circumstances, or if there is another vio lation of the loan agreement or any agreement with the SBA, the SBIC is liquidated or its license is revoked. 18 FIGURE 1 Performance of SBICs and other financial institutions A. Returns on equity, 1986-91 percent ■ SBICs c □ Commercial anks □ 1 1 1 1 ______ 1______ 1______ 1______ 1__ 1986 '87 '88 '89 ’90 ___i ’91 B. Failure rates, 1987-93 percent of institutions active at beginning of year Notes: Average failure rates = 11.24 percent for SBICs; 5.50 percent for S&Ls; and 1.13 percent for com m ercial banks. For SBICs, failure is defined as liquidation or revocation of an SBIC's license by the SBA or surrender of license by an SBIC. Sources: Authors' calculations from data provided by the U.S. Sm all Business Adm inistration (SBA), the Office of Thrift Supervision, and in various issues of the FDIC Q u a rte rly B an kin g P rofile. Overview of performance and leverage The data used in this article are for 280 SBICs active at the beginning of 1986, which filed reports of both condition and invest ments.9 The reports of condition provide detailed balance-sheet and income-statement informa tion of SBICs for the 1986-91 period.10 The investment data provide the name, SIC code, total assets, number of employees, and location of the firms being financed; the dollar amount and type of financing provided (loans, equity, or debt with equity features); whether there was a put option on the equity financing that requires the small firm to repurchase its equity in the future; whether the deal included debt ECONOMIC PERSPECTIVES financing; the interest rate charged; the activity that was being financed; variables that indicate whether the SBIC previously provided financing to the firm; and whether the SBIC offered man agement services to the small business. Figure 1 provides a comparison of several measures of performance for our sample of SBICs versus other financial institutions over the 1986-91 period. In brief, SBICs performed poorly over this period. Panel A of figure 1 shows that SBICs experienced very low ROEs between 1986 and 1991 and performed worse than commercial banks. SBICs’ returns on equity were negative (-0.2 percent) over the 1986-91 period, and were positive for only two of the six years. Panel B of figure 1 re ports the failure rates for sampled SBICs and other financial institutions. The failure rate for SBICs was a little above 11 percent per year, compared with 5.5 percent for savings and loan associations and 1 percent for commercial banks." Over 56 percent of the 280 SBICs were liquidated, had their licenses revoked, or voluntarily surrendered their licenses prior to the end of 1993. Figure 2 shows that bank-owned SBICs performed significantly better than their non bank-owned counterparts.12 Bank-owned SBICs had a mean ROE of 1.9 percent over the 1986-91 period, while nonbank-owned SBICs earned a -1.5 percent ROE. Failure rates dif fered as well: 41.4 percent of bank-owned SBICs had failed by 1993, while the compa rable figure for nonbank-owned SBICs was 64.1 percent. The difference in failure rates is even greater if failure is defined to include only liquidations and license revocations. Figures 3 and 4 show that SBA leverage was used by a majority of the SBICs in our sample, but it also reveals two other aspects of SBA leverage usage. First, nonbank-owned SBICs are much more likely to use SBA lever age than bank-owned SBICs (figure 3). Conse quently, the mean ratio of SBA funds to total assets is much lower for bank-owned SBICs than for nonbank-owned SBICs (figure 4, panel A). Second, conditional on using any SBA lever age at all, bank-owned SBICs still used less leverage than their nonbank-owned counter parts, and their usage declined over the period under review (figure 4, panel B). It is clear from these figures that, by and large, bank-owned SBICs are not exploiting the SBA financing subsidy to the same extent as other SBICs. FEDERAL RESERVE BANK OF CHICAGO FIGURE 2 Performance of bank- and nonbank-owned SBICs A. Returns on equity, 1986-91 percent B. Failure rates, 1987-93 percent active at beginning of year that failed by year-end Notes: Average ROEs = 1.9 percent for bank-owned SBICs; -1 .5 percent for nonbank-ow ned SBICs; and -0 .2 percent for all SBICs. Average failure rates = 41.4 percent for bank-owned SBICs; 64.1 percent for nonbank-owned SBICs; and 56.1 percent for all SBICs. Failure is defined as liquidation or revocation of an SBIC's license by the SBA or surrender of license by an SBIC. Source: Authors' calculations from data provided by the U.S. Sm all Business Adm inistration. Factors affecting SBIC performance Why should SBA leverage influence re turn on equity (ROE) and the likelihood of failure, and what other factors may explain SBICs’ weak earnings and failure? How might access to SBA subsidies affect the returns on capital invested in SBICs? One would expect that borrowing money at a subsidized rate would raise the returns to private investors. If there are no market imperfections, then inves tors will invest in SBICs until their risk-adjust ed (post-subsidy) rates of return equal those available in other financial intermediaries. This means more projects would be funded 19 than would be the case in a world without SBA subsidies. However, if only the riskiest SBICs — those that would otherwise be unable to raise funds or could do so only at a hefty risk premi um—use leverage, then this adverse selection problem may mean we observe a positive rela tionship between failure and SBA leverage. Further, if SBICs that use SBA leverage do so because they intend to invest in riskier projects than they would if only their own mon ey were at stake, this moral hazard may also point to a positive relationship between failure and leverage. 20 Finally, aside from these two informationrelated concerns, we consider the prepayment effect and the mismatch effect. The SBA regu lations in effect during the period under review essentially forbade prepayment of SBA-guaranteed debt during its first five years; hence, SBA regulations matched the minimum dura tion of SBICs’ debt and the loans they made. Thus, falling interest rates could mean a de cline in investment income but no commensurate decline in interest expenses, putting pressure on SBICs’ profits. This prepayment effect would likely be most pronounced for SBICs with large loan portfolios.13 A second factor is that SBA leverage required regular interest pay ments to the SBA, whether or not the SBIC earned any income over that period. Thus, many SBICs, especially equity-oriented SBICs whose realized income consists primarily of variable capital gains, may have found SBA leverage quite burdensome—the mismatch effect. Overall, then, we have several reasons to expect that SBA leverage may be negatively related to ROE and positively related to failure. The relationship between ROE (and failure) and SBA leverage is obviously a complex one. We consider three measures of SBA leverage. The first measure, the ratio of total SBA funds to total assets (SBATA), is a good indicator of how an SBIC is funding its assets; that is, whether it is funding a large or small fraction of its assets with publicly subsidized funds. The second leverage measure, the ratio of total SBA ECONOMIC PERSPECTIVES funds to private capital (SBAPRIV), gives a sense of the extent to which the SBIC’s own dollars are at stake relative to subsidized dollars. Thus, SBAPRIV may be a better measure of the possibility of moral hazard problems arising. The SBA implicitly recognized this possibility when it developed regulations limiting the amount of leverage to $3 of publicly subsidized capital for every $1 of privately provided capi tal. Our third leverage measure, DSBATA, is defined as the net change in SBA funding rela tive to total assets. Holding other things con stant, we expect that ROE should decrease and the likelihood of an SBIC failure should in crease with SBA leverage. Thus, 1) ROE = f (SBALEV, CONTROL VARIABLES, £) and 2) LAILURE = g( SBALEV, CONTROL VARIABLES, p), where SBALEV captures the extent to which an SBIC uses SBA funds; FAILURE is an indicator variable which is equal to one if an SBIC is liquidated, voluntarily surrenders its license, or has its license revoked, zero other wise; CONTROL VARIABLES is a set of addi tional variables influencing ROE and SBIC failure; and e and p are identically and inde pendently distributed error terms. The bank failure literature suggests a set of control variables that is likely to be important in examining the relationship between SBA leverage and performance, as measured by profits or failure.14 We group these variables as follows: Asset composition and quality—The diver sification and quality of an SBIC’s asset port folio, as well as the share of loans in its securi ties portfolio, are likely to be related to profit ability (failure). PCOMP, the ratio of loans to portfolio securities, is a crude measure that controls for asset risk. SBICLOSS, the ratio of loss provisions on accounts receivable to total expenses, is a measure of asset quality and may be negatively (positively) related to profitabili ty (failure). Two diversification measures, HERFGEO and HERFSIC2, are Herfindahl indexes constructed from the flows of invest ments made by the SBIC over the 1983-92 period; HERFGEO (HERFSIC2) is based on flows by state (two-digit SIC industry) of the FEDERAL RESERVE RANK OF CHICAGO small business receiving funding.15 High levels of diversification (low Herfindahls) may be associated with high profitability (low failure), but specialization can yield economies on monitoring costs incurred by the SBIC; conse quently, the net effect of the Herfindahls on profitability and failure is uncertain. A related measure is INSTATE, which is the share of dollars invested by an SBIC in small businesses located in its home state over the 1983-92 period. High levels of INSTATE may mean lower monitoring costs, thus higher profits (lower failure) for an SBIC. Other SBIC characteristics—SBIC size (SBICSIZE), as measured by the natural loga rithm of total assets (TA), and age (SBICAGE) are control variables, though standard argu ments are that large SBICs may be more diver sified and may hire better managers than small ones. We also include the ratio of operating expenses to total assets (OPEX) to capture the notion that efficient SBICs will earn superior returns and be less likely to fail. Characteristics of the small businesses being financed—We consider two features, the dollar-weighted mean age of the small business es receiving funding by the SBIC {AGEFIRM)\ and the share of dollar investments going to firms with fewer than 50 employees (£1-49). These measures also help to control for asset risk, to the extent that smaller, younger firms are riskier on average than are larger, older ones. Projects being funded—We argue that the types of projects funded by an SBIC are likely to be correlated with its profitability (and fail ure). Each investment made by an SBIC is identified as being intended to finance a certain type of project being undertaken by the small business receiving funding, for example, re search and development, land acquisition, or operating capital. We grouped the ten possible project types into three categories. USETRANS is defined as the share of dollars invested in transactions-type projects, whose execution is likely to involve little managerial discretion by the small business and to require little monitor ing by the SBIC. We include plant moderniza tion, debt consolidation, new building or plant, machinery acquisition, and land acquisition projects in this category. USERELAT is defined as the share of dollars invested in relationship-type projects that are likely to involve high levels of managerial discretion and SBIC 21 monitoring. We include acquisitions of existing businesses, marketing, research and develop ment, and an other catch-all category here. Finally, USEOPKAP is the share of dollars invested in the last category, operating capital. In principle, it is important to control for the types of projects and financial characteris tics of the small businesses being financed by SBICs when examining the relationship be tween SBA leverage and performance. Hence, TABLE 1 Characteristics of SBICs and their investments, 1986-91 means Characteristics of SBICs TA SBICAGE SBICLIQ SBICLOSS MARGIN OPEX PCOMP ACOMP SBATA SBAPRIV AGROW KIMPBA Total assets, $ m il. Age, years (Current assets-current liabilities)/total assets (Provisions for losses on accounts receivable)/total expenses Net investment income/total assets Operating expenses/total assets (Loans/total securities), book value (Total securities/total assets), market value SBA funds/total assets SBA funds/private capital Growth rate of total assets, in logs Cumulative realized profits net of unrealized losses/private capital Characteristics of SBICs AGEFIRM USETRANS USERELAT USEOPKAP E1-49 E50-249 E-GE250 HERFSIC2 HERFGEO INSTATE FSTSHR SHRMFG SHRTRANS SHRRET SHRSVC $-weighted mean age of firms funded by an SBIC in each year Share of invested funds in each year intended for transactions-type projects Share of invested funds in each year intended for relationship-type projects Share of invested funds in each year intended for operating capital projects Share of invested funds in each year going to firm s with 1-49 employees Share of invested funds in each year going to firm s with 50-249 employees Share of invested funds in each year going to firm s with 250+ employees Herfindahl index, based on ten-year flows by tw o-digit SIC industry of small businesses Herfindahl index, based on ten-year flows by location (state) of small businesses Share of invested funds going to small businesses located in the same state as the SBIC Share of invested funds in each year going to firm s receiving funding for the first time from this SBIC Share of invested funds in each year going to firm s in manufacturing sector Share of invested funds in each year going to firm s in transportation sector Share of invested funds in each year going to firm s in retail sector Share of invested funds in each year going to firm s in services sector All SBICs Banko w n ed Nonbankow ned 16.973 12.527 0.300 30.148"’ 11.466’" 0.361'" 9.044 13.166 0.263 0.034 0.032 0.041 0.382 0.616 0.333 1.044 0.041 0.024" 0.037'" 0.036'" 0.165'" 0.571"' 0.152"' 0.371'" 0.092'" 0.040 0.029 0.044 0.511 0.644 0.441 1.450 0.009 0.820 0.126’ 0.056 All SBICs Banko w n ed 7.727 7.106’ 8.102 0.214 0.135” ' 0.260 0.203 0.273'" 0.162 0.583 0.590 0.579 0.651 0.563” ' 0.703 0.277 0.348” ' 0.234 0.073 0.088’ 0.064 0.524 0.492'" 0.543 0.692 0.657'" 0.714 0.554 0.546 0.559 0.534 0.465'" 0.575 0.420 0.544'" 0.346 0.084 0.061'" 0.098 0.147 0.068'" 0.195 0.186 0.192 0.182 Nonbankow n ed Notes: Sample is 280 SBICs, 1986-91. Total observations: 1,102. Means are unweighted. *, * * , and *** i ndicate means for bank-owned SBIC differ significantly from means for nonbank-owned at the 10%, 5%, and 1% levels, respectively. Source: Authors' calculations from data provided by the Small Business Administration. 22 ___________ ECONOMIC PERSPECTIVES in the empirical specifications of equations 1 and 2, we include many of these measures as control variables. Comparison of means—Table 1 reports the mean values of selected variables for all SBICs and for the bank- and nonbank-owned SBICs over the 1986-91 period. First, com pared with nonbank-owned SBICs, bankowned SBICs were larger (SBICSIZE), more equity-oriented (PCOMP), and more liquid (SBICL1Q and ACOMP). Second, as described above in more detail, bank-owned SBICs used less SBA leverage (SBATA and SBAPRIV). Third, they funded larger firms (£1-49 and £50-249) and more relationship-oriented projects (USERELAT). They also funded more firms in the manufacturing and service sectors and fewer in the transportation and retail sec tors. Finally, bank-owned SBICs grew much more rapidly than did nonbank-owned SBICs from 1986 to 1991 (.AGROW). Performance of SBICs The following equation provides a simple empirical specification of the relationship between ROE and selected financial variables: 3) ' R O E j.t = k 0n + y . t=2 T, k 0,t n DUM + £ 1 S B I C S I Z E t j.t + £ 2 S B I C A G Ej.t + £3 S B I C L O S S j.t + kA P O R T F O L I O j.t + k 5, S B A L E Vj.t 4 + £6 O P E X J.t + £1 A G E F I R M J.t + £ 8£ 7 —49J.t + £9 H E R F G E O j + £ io H E R F S I C 2 j + £ u, I N S T A T Ej + ej.r, where j,t denotes SBIC j in year t, DUMt (t = 2,3,...,£) are time-specific binary variables, other explanatory variables are as defined earlier (see table 1 and text); and e t is an error term.16 PORTFOLIO is a vector of measures of income-earning assets held by SBICs, and we consider two alternative vectors detailed below. We estimate equation 3 using timeseries cross-sectional data from 1986 to 1991 for the full sample of SBICs and for the bankand nonbank-owned subsamples of SBICs. To determine the relationship between failure of SBICs and our explanatory variables, we estimate the following logit model by maxi mum-likelihood procedures: 4) Prob(FAILURE.; = 1) = <|>(X. f2 (3), where FAILURE. r is equal to one if an SBIC is liquidated, voluntarily surrenders its license, or FEDERAL RESERVE BANK OF CHICAGO has its license revoked and zero otherwise; X „ is the vector of explanatory variables on the right-hand side of equation 3; (3 is a vector of parameter estimates for the independent vari ables X. f 2; and (j) is the log odds ratio.17 ROE results Table 2 reports the results from regressing ROE on our first SBALEV measure, SBATA, and other variables, for the full sample as well as separately for the bank-owned and nonbankowned SBICs. Column 1 contains the results on the simplest model estimated over the full sample of 280 SBICs, 1986-91, where the PORTFOLIO vector includes USETRANS and USERELAT. Two things stand out in column 1. First, the relationship between SBA lever age and ROE is negative, even after controlling for SBIC age, size, and portfolio composition, and characteristics of projects and small busi nesses. Second, several, though not all, of the other variables are significantly related to ROE. In particular, the operating expense variable, OPEX, has a significant negative correlation with ROE, and asset quality, as measured by SBICLOSS, has a modest negative effect. The share of investments going to transactions-type projects and, to a lesser extent, the share going to relationship-type projects are positively correlated with ROE (recall that operating capital is the excluded category). The diversi fication measures HERFGEO and HERFSIC2 are not significant, nor are INSTATE, AGEFIRM, or £1-49. Thus, there is little evidence that, once portfolio characteristics are taken into account, the types of small businesses funded by SBICs are important correlates of profitability. Columns 2 and 3, which report results from the same regression estimated for the bank and nonbank samples, show that SBICLOSS, USETRANS, and USERELAT are important only for the nonbank SBICs. Given that the effect of the loss variable is likely to be nil for SBICs whose portfolios contain mostly equities (losses on accounts receivable are not likely to be related to the ultimate quality of the equities held by the SBIC) and that banks do most of their investing in the form of equity, the SBICLOSS result is not surprising. Why USETRANS and USERELAT seem important only for nonbank-owned SBICs is more of a puzzle. An alternative specification is presented in columns 4-6 of table 2; here, the USETRANS and USERELAT variables are replaced by 23 TABLE 2 The relationship between return on equity (ROE) and SBA leverage INTERCEPT SBICSIZE SBICAGE SBICLOSS OPEX SBATA AGEFIRM USETRANS USERELAT PCOMP E1-49 HERFGEO HERFSIC2 INSTATE R2 N All SBICs Bankowned Nonbankowned -0.477*** (0.149) 0.035*** (0.008) 0.009 (0.010) -0.108 (0.079) -0.993*** (0.211) -0.238*** (0.032) 0.000 (0.001) 0.080*** (0.029) 0.044 (0.030) - -0.665** (0.258) 0.044*** (0.014) -0.000 (0.002) 0.000 (0.123) -0.896*** (0.326) -0.221*** (0.067) -0.001 (0.002) 0.022 (0.055) 0.035 (0.044) - -0.482** (0.190) 0.044*** (0.011) 0.000 (0.001) -0.200* (0.104) -1 .0 3 *** (0.285) -0.380*** (0.047) -0.000 (0.001) 0.099*** (0.033) 0.071* (0.043) - 0.034 (0.026) 0.061 (0.063) -0.040 (0.045) 0.012 (0.038) 0.12 1,102 0.011 (0.043) 0.144 (0.148) -0.003 (0.107) -0.039 (0.073) 0.06 414 0.0450 (0.034) -0.011 (0.070) -0.073 (0.051) 0.056 (0.046) 0.17 688 All SBICs Bankowned Nonbankowned -0.461*** (0.146) 0.037*** (0.008) 0.000 (0.001) -0.163** (0.079) -0.903*** (0.210) -0.286*** (0.034) -0.000 (0.001) - -0.698*** (0.255) 0.046*** (0.014) -0.001 (0.002) -0.055 (0.126) -0.756** (0.329) -0.24 2*** (0.068) -0.001 (0.002) - -0.454** (0.187) 0.046*** (0.010) -0.000 (0.001) -0.254** (0.104) -0.958*** (0.285) -0.415*** (0.048) -0.001 (0.001) - 0.119*** (0.025) 0.007 (0.026) 0.010 (0.064) -0.035 (0.045) 0.021 (0.038) 0.13 1,102 0.122* (0.064) -0.011 (0.044) 0.114 (0.147) 0.027 (0.108) -0.035 (0.073) 0.07 414 0.113*** (0.029) 0.012 (0.034) -0.059 (0.071) -0.070 (0.051) 0.054 (0.046) 0.18 688 Notes: Sample is 280 SBICs, 1986-91. Dependent variable: ROE, 1986-91. Each specification includes (unreported) time dummies, and standard errors are in parentheses below coefficient estimates. *, * * , and * * * indicate significance at the 10%, 5%, and 1% levels, respectively. Source: Authors' calculations from data provided by the Small Business Administration. PCOMP, the ratio of loans to securities at book value. Since USETRANS and PCOMP are high ly correlated (SBICs tend to finance transactions-oriented projects with debt), we exclude the USE variables in this specification. The main result is unchanged: SBA leverage is negatively related to ROE, even after control ling for other factors that may influence profit ability. Next, we consider our two alternative measures of SBA leverage, SBAPRIV and DSBATA. The results from using SBAPRIV shown in columns 1-3 of table 3 are quite similar to the results using SBATA in table 2, columns 4-6: SBA leverage has a significant negative effect, though the statistical signifi 24 cance of the effect is dampened with the new measure. The regression results from using DSBATA, in columns 4-6 of table 3, indicate that increases in SBA leverage relative to total assets affect ROE negatively only for nonbankowned SBICs, not bank-owned SBICs. When considered in light of the SBA leverage usage patterns described above, this result is not surprising. Bank-owned SBICs were shedding their already low levels of SBA leverage over the 1986-91 period, while they were growing rapidly and earning higher returns than nonbank-owned SBICs. The relationship between leverage and ROE thus seems quite different for the two types of SBICs. ECONOMIC PERSPECTIVES TABLE 3 The relationship between ROE and alternative measures of SBA leverage All SBICs INTERCEPT SBICSIZE SBICAGE SBICLOSS OPEX DSBATA SBAPRIV AGEFIRM PCOMP E1-49 HERFGEO HERFSIC2 INSTATE R2 N -0.743*** (0.145) 0.049*** (0.008) 0.001 (0.001) -0.146* (0.081) -0.916*** (0.215) - -0.04 3*** (0.009) -0.000 (0.001) 0.092** (0.027) 0.012 (0.027) 0.050 (0.065) -0.008 (0.046) 0.026 (0.038) 0.10 1,102 Bankowned Nonbankowned -0.835*** (0.255) 0.053*** (0.014) -0.000 (0.002) -0.031 (0.128) -0.753** (0.333) - -0.854*** (0.195) 0.061*** (0.012) 0.001 (0.001) -0.243** (0.108) -0.960*** (0.296) - -0.046* (0.025) -0.001 (0.002) 0.115* (0.067) -0.004 (0.044) 0.090 (0.148) 0.093 (0.107) -0.037 (0.074) 0.05 414 -0.057*** (0.013) -0.001 (0.001) 0.094*** (0.031) 0.010 (0.036) 0.013 (0.073) -0.043 (0.053) 0.063 (0.048) 0.12 688 All SBICs Bankowned Nonbankowned -0.708*** (0.170) 0.042*** (0.009) 0.001 (0.001) -0.124 (0.091) -0.903*** (0.241) -0.171** (0.071) - -0.852*** (0.317) 0.049*** (0.017) 0.001 (0.002) 0.027 (0.148) -0.683* (0.393) -0.030 (0.175) - -0.588*** (0.215) 0.035*** (0.012) 0.001 (0.012) -0.202* (0.119) -1 .0 2 *** (0.319) -0.196*** (0.075) -0.000 (0.002) 0.065 (0.081) 0.008 (0.056) 0.114 (0.191) 0.140 (0.134) -0.096 (0.092) 0.03 322 0.001 (0.001) 0.047 (0.032) -0.005 (0.040) -0.009 (0.082) 0.022 (0.059) 0.089' (0.054) 0.11 521 0.001 (0.001) 0.032 (0.028) 0.012 (0.032) 0.029 (0.077) 0.043 (0.054) 0.038 (0.046) 0.08 843 - Notes: Sample is 280 SBICs, 1986-91. Dependent variable: ROE, 1986-91. Each specification includes (unreported) tim e dummies, and standard errors are in parentheses below coefficient estimates. *, * * , and * * * indicate significance at the 10%, 5%, and 1% levels, respectively. Source: Authors' calculations from data provided by the Small Business Administration. Our principal finding from tables 2 and 3 is that after controlling for other factors that can influence ROE, we still find a strong, neg ative relationship between SBA leverage and profitability of SBICs. Can we identify which of the stories sketched above is most impor tant? A report from the U.S. GAO (1993) emphasizes both the mismatch effect and the prepayment effect. To investigate the mis match story, we reestimated equation 3, adding an interaction term to the set of regressors—the product of SBATA and PCOMP. Our reason ing was that the sign of its coefficient would be positive under the mismatch story, that is, the negative effect of SBA leverage on ROE would be most pronounced for SBICs with low values of PCOMP (high shares of equi ties in their portfolios). In fact, we do obtain FEDERAL RESERVE BANK OF CHICAGO a positive coefficient estimate on this interac tion term, offering some support for the mis match story.18 To investigate the prepayment effect, we reestimated equation 3, allowing the coeffi cient on SBA leverage to vary over time. We found statistically significant coefficients on the time dummy-SBA leverage interaction terms, suggesting that the prepayment story may be important. Next, we considered three possible ways of identifying the contribution from prepayment restrictions, and we found little evidence that prepayment restrictions were the source of the negative leverage-ROE relationship. Below, we briefly describe the interest rate environment faced by SBICs dur ing our sample period and our findings on the prepayment issue. 25 Interest rates were high in the early 1980s compared with the years covered by our study, 1986-91. In the 1981-85 period, the ten-year U.S. Treasury bond rate averaged 12.2 percent, while over the 1986-91 period, it averaged 8.3 percent. If SBICs were unable to refinance their existing high-rate debt in the early years of our sample period, their profitability may have been adversely affected. We argue that this restriction, if important, should show up in our analysis in any one of the following three ways. First, the impact of SBA leverage on ROE should vary depending on whether inter est rates are high or low relative to previous years. When interest rates are falling, we would expect the negative effect of SBA lever age to become more pronounced. To address this, we reestimated the ROE equation of table 2, columns 4-6, adding an interaction term for SBA leverage and the change in the ten-year Treasury rate.19 We found a negative coeffi cient on the interaction term, so that when interest rates were falling in the early years of our sample, the negative impact of SBA lever age on ROE was mitigated, not exacerbated as the prepayment story would imply. A second prepayment story emphasizes that the cost of failing to refinance high-rate debt is that though liabilities remain expensive, the assets of SBICs earn lower returns in the lower interest rate environment. That is, if an SBIC’s customers can refinance when rates fall but the SBIC cannot, then the SBIC’s liabilities remain costly, while its earnings on assets decline. Under this story, a measure of the interest rate spread earned by an SBIC would be a narrower and better measure of the net earnings likely to be affected by a decline in interest rates. To investigate this, we reesti mated equation 3, now using an interest rate spread as the dependent variable, including an interaction term between SBA leverage and the change in interest rates, and controlling for macroeconomic conditions by including the growth rate of real GDP.20 Again, we found no evidence that leverage’s negative effect is most pronounced when interest rates are falling. Finally, we computed what each SBIC’s interest expenses would have been had it refi nanced its entire stock of debt at the current year’s ten-year Treasury rate. The prepayment story implies that SBICs whose actual interest expenses greatly exceeded these imputed ex 26 penses (measured by the difference between actual and computed interest expenses relative to total assets) are those for whom the prepay ment restrictions are most burdensome; thus, we should see low ROEs for these SBICs. The simple correlation between ROE and this difference measure is indeed negative.21 How ever in a regression of ROE on the same vari ables as in table 2 columns 4-6, plus this dif ference measure, the measure comes in strong ly significant but with a positive coefficient, not a negative one. Again, this evidence does not support the prepayment story. In summary, we have little evidence that the prepayment restrictions faced by SBICs during our sample period are the main source of the negative relationship between SBA leverage and ROE. However, we do find some support for the idea that the regular interest payments due on SBA leverage adversely af fected profits at equity-oriented SBICs. More research is needed to consider the relative importance of other possible explanations for the negative ROE-SBA leverage relationship. Failure results Table 4 reports the results from the estima tion of equation 4 for the full sample and the bank- and nonbank-owned samples. The first column for each sample presents the maximum likelihood estimates of the parameters and their standard errors. The second column reports the marginal effects of the explanatory variables on the probability of failure. Consistent with the ROE results, SBA leverage measured by SBATA is negatively correlated with SBIC performance: SBICs with higher SBATA have a higher probability of failure two years hence. Furthermore, the positive relationship between SBA leverage and probability of failure is stronger for non banks. While an increase in SBATA increases the probability of failure for a bank-owned SBIC by 0.125, a similar increase in SBATA increases the probability of failure for a non bank-owned SBIC by 0.187. The correlations between failure and SBICSIZE and SBICLOSS are also consistent with the earlier results. SBICSIZE is negatively correlated with the probability of failure in all samples. SBICLOSS is positively correlated with the probability of failure, but has a signif icant effect only for the full sample. In the full and nonbank samples, higher ratios of loans to ECONOMIC PERSPECTIVES TABLE 4 T h e r e la tio n sh ip b e tw e e n th e p r o b a b ility o f fa ilu r e a n d S B A le v e r a g e All SBICs MLE PROB Constant SBICSIZE 2.921 -0.37 5*** (0.116) 0.238 -0.031*** SBICAGE 0.000 (0.013) -0.525* (0.294) 1.366* (0.810) 2.021*** (0.423) 4.537** (2.241) -0.011 (0.014) 0.068 (0.329) -0.843 (0.769) 0.953* (0.531) 0.097 (0.461) PCOMP SBICLOSS SBATA OPEX AGEFIRM E1-49 HERFGEO HERFSIC2 INSTATE * 2<16> N 0.000 -0.043* 0.111* 0.165*** 0.370** -0.001 0.006 -0.069 0.078* 0.008 79.78*** 1,102 Nonbank-owned MLE PROB 2.094 0.212 -0.031** -0.308** (0.144) 0.007 0.001 (0.015) -0.670** (0.340) 0.772 (1.084) 1.850*** (0.592) 6.308** (2.947) -0.014 (0.016) -0.139 (0.392) -0.665 (0.872) 0.784 (0.623) 0.071 (0.550) -0.068** 0.078 0.187*** 0.639** -0.001 -0.014 -0.067 0.079 0.007 44.09*** 688 Bank-owned MLE PROB 3.713 -0.468** (0.231) 0.168 -0.021** 0.001 (0.029) 0.891 (0.748) 1.747 (1.347) 2.767*** (0.843) 3.969 (3.824) -0.014 (0.029) 0.517 (0.665) -2.900 (2.051) 2.844* (1.460) 0.552 (1.019) 0.000 0.040 0.079 0.125** 0.179 -0.001 0.023 -0.131 0.128* 0.025 42.98*** 414 Notes: The dependent variable is an indicator variable that takes on a value of one if an SBIC failed two years hence; otherwise, it takes on a value of zero. Failure is defined as either liquidation or revocation of license by the SBA, or surrender of license by an SBIC. SBATA is the ratio of SBA funds divided by total assets. In addition to the above explanatory variables, the model also includes tim e dumm ies for the years 1987-91. The MLE column presents the m aximum likelihood estimates of the parameters and their standard errors. The PROB column presents the marginal effects of the right-hand side variables (X) on the probability of failure, computed at the mean values of X. * , * * , and * * * indicate statistical significance at 10%, 5%, and 1% levels, respectively. Source: Authors' calculations from data provided by the Small Business Administration. total portfolio securities (PCOMP) are associ ated with lower probabilities of failure. On the other hand, PCOMP is not significant in the bank-owned sample. This result is comparable to the ROE results reported above. Higher operating expenses are associated with higher probabilities of failure, and this relationship is particularly strong for the non bank-owned SBICs. Taken together with earli er results on ROE, these results indicate that high operating expenses are associated with low profitability contemporaneously for all SBICs. For nonbank SBICs, high operating expenses are also associated with poor long term performance, which suggests that the consequences of operating inefficiencies at FEDERAL RESERVE BANK OF CHICAGO nonbank-owned SBICs are more persistent. Among the variables that describe the investment strategy of SBICs, only the indus try-diversification measure, HERFSIC2, is significantly related to probability of failure. SBICs that are not diversified are more likely to fail than well-diversified SBICs; however, the relationship is significant only for the bank-owned SBICs. A l t e r n a t i v e v ie w s o f f a i l u r e As Kane (1985, 1989) and others have recognized, failure of institutions with access to government liability-guarantees is not an automatic consequence of a weakened financial condition. It results from a conscious decision 27 by the regulatory agency to acknowledge and act upon the weakened financial condition of an institution. Our definition of SBIC failure combines three different events, liquidation, revocation, and surrender of license. Liquida tion and revocation are generally thought to be choices of the SB A, while surrender of license is a choice of the SBIC. How sensitive are our results about SBA leverage to our definition of failure? When we reestimated equation 4 on the sample of SBICs consisting of survivors and those who were liquidated during our sam ple period, we obtained results very similar to the ones described above. However, using a sample consisting of survivors and those who surrender their licenses over the sample period yields different results: SBA leverage is no longer a statistically significant correlate of the probability of failure, where failure is defined as the surrender of a license. The positive leverage-failure correlation in the liquidation sample reflects both an eco nomic and a regulatory effect of leverage, and without further work, we cannot disentangle the two. Since leverage is not an important correlate of failure in the surrenders-only sam- TABLE 5 The relationship between the probability of failure and SBA leverage, including SBA’s measure of cumulative profitability All SBICs Constant SBICSIZE SBICAGE PCOMP SBICLOSS SBATA OPEX AGEFIRM E1-49 HERFGEO HERFSIC2 INSTATE KIMPBA X2(17) N Nonbank-owned MLE PROB MLE 1.215 -0.267** (0.116) 0.010 (0.013) -0.142 (0.321) 1.464* (0.809) 1.342*** 0.093 -0.203** 0.264 -0.189 (0.145) 0.018 (0.015) -0.307 (0.364) 0.904 (1.121) 0.880 (0.642) 4.190 (3.033) -0.015 (0.017) -0.062 (0.391) -0.392 (0.882) (0.459) 3.081 (2.226) -0.010 (0.014) 0.108 (0.329) -0.765 (0.766) 1.018* (0.538) 0.098 (0.465) -1.13 4*** (0.362) 90.45*** 1,102 0.001 -0.011 0.112* 0.102*** 0.235 -0.001 0.008 -0.058 0.078* 0.007 -0.086*** PROB 0.763 (0.637) 0.085 (0.558) -1.393*** (0.454) 0.025 -0.018 0.002 -0.029 0.084 0.082 0.391 -0.001 -0.006 -0.037 0.071 0.008 -0.130 54.56*** 688 Bank-owned MLE 2.489 -0.385 (0.239) 0.011 (0.029) 1.546* (0.859) 1.711 (1.342) 2.215** (0.883) 3.086 (3.607) -0.011 (0.029) 0.495 (0.670) -3.344 (2.094) 3.165** (1.505) 0.593 (1.017) -1.111 (0.687) PROB 0.103 -0.016* 0.000 0.064* 0.071 0.091** 0.127 -0.001 0.020 -0.138 0.131** 0.024 -0.458* 45.75*** 414 Notes: The dependent variable is an indicator variable that takes on a value of one if an SBIC failed tw o years hence; otherwise, it takes on a value of zero. Failure is defined as either liquidation or revocation of license by the SBA, or surrender of license by an SBIC. SBATA is the ratio of SBA funds divided by total assets. In addition to the above explanatory variables, the model also includes tim e dummies for the years 1987-91. The MLE column presents the m aximum likelihood estimates of the parameters and their standard errors. The PROB column presents the marginal effects of the right-hand side variables (X) on the probability of failure, computed at the mean values of X. *, * * , and * * * indicate statistical significance at 10%, 5%, and 1% levels, respectively. Source: Authors' calculations from data provided by the Small Business Administration. 28 ECONOMIC PERSPECTIVES pie, a sample for which regulatory determi nants of failure were presumably not impor tant, the economic effect seems to be nil. How can we reconcile this result with our claims about the economic effects of leverage? First, the distinction between liquidations and surren ders in practice is not as clear as our discussion has implied. An SBIC may surrender its license just before facing a certain liquidation action by the SBA. Similarly, liquidations may occur for purely economic reasons. For example, the U.S. GAO (1993) reported that several SBICs entered liquidation to avoid the prepayment penalties associated with paying off their SBA leverage. So, we do not view liquidations as purely regulatory events, nor surrenders as purely economic events. Second, we have other evidence from our ROE analysis that the negative effect of SBA leverage on perfor mance remains even when the sample consists only of survivors and surrenders, that is, when SBICs that ultimately are liquidated are removed from the sample. Estimating equation 3 on this other sample still yields a significant, negative coefficient on SBA leverage, which is consis tent with there being an economic effect of leverage on performance. In summary, though we cannot gauge the quantitative importance of the economic effects of leverage versus any regulatory impact coming through the SBA’s closure rule, we feel confident that the positive coefficient on leverage in the failure equations truly reflects the negative economic impact of leverage on performance. Finally, as noted earlier, the SBA consid ers an SBIC to be a poor performer if net real ized losses plus unrealized losses of the SBIC exceed 50 percent of its private capital. If an SBIC is capital impaired by this measure, the SBA considers the SBIC in default and has the right to liquidate its assets. Table 5 reports the results from the estimation of equation 4 when the SBA’s measure of performance, KIMPBA, is included in the model as another explanatory variable.22 The greater the SBA’s exposure to losses, the more likely it is to take actions to close an investment company. Thus, we expect that the probability of SBIC failure will increase with SBA leverage and with the degree of capi tal impairment. We find that SBICs that perform well by the SBA’s standards are indeed less likely to fail; this relationship is particularly strong for FEDERAL RESERVE BANK OF CHICAGO the nonbank-owned SBICs. For nonbankowned SBICs, including KIMPBA in the model dampens the relationship between probability of failure and SBA leverage. Because most of the nonbank-owned SBICs take advantage of SBA subsidies, it is not surprising that SBA closure decisions are related more to the finan cial condition of these SBICs than to the level of their SBA funding. On the other hand, SBA leverage remains a significant correlate of probability of failure for bank-owned SBICs, even after KIMPBA is included. Since there are significant differences across bank-owned SBICs in the use of SBA funding, it is not surprising that the level of SBA funding, as well as their financial condition, is significant ly correlated with the probability of failure for these SBICs. Conclusion Encouraging financial institutions to pro vide funding to small businesses has been a central goal of U.S. public policy for a long time. The SBIC program is designed to en courage the flow of long-term capital to small firms. Because government guarantees are used to fund many of the companies licensed under the program, their performance is of particular interest to policymakers. In this article, we analyze the performance of 280 SBICs that were active at the beginning of 1986, paying special attention to the impact of access to government liability guarantees on ROE and failure. We find that SBICs performed poorly. Of the 280 SBICs, over half had failed by 1993. The ROE measure reveals a similarly dismal performance. We find that high usage of SBA-guaranteed debt is associated with poor performance, partic ularly for nonbank-owned SBICs. We describe several factors that may account for this rela tionship and offer evidence on two of them, the prepayment effect and the mismatch effect. We find little evidence that prepayment restrictions faced by SBICs are important factors behind the poor performance record of SBICs, but we do find evidence that equity-oriented SBICs found SBA leverage burdensome due to its regular interest payment requirements. Our results are also consistent with information-related prob lems (adverse selection and moral hazard) being important. However, our results are not sufficiently precise to differentiate these infor mation-related effects of leverage from its 29 other effects. Nevertheless, the results suggest that public subsidies aimed at encouraging the flow of funds to small firms may have unin tended consequences if the assets funded by SBICs are riskier than they would have been in the absence of the subsidy. Finally, we note that in 1994 the SB A revised many regulations pertaining to the SBIC program. For example, minimum private capital requirements were raised, prepayment restrictions were lifted, and a new equity-like form of leverage was developed and made available to equity-oriented SBICs. Our analy sis suggests that the latter change may be quite valuable and that lifting the prepayment restric tions may be less so. Furthermore, higher capital requirements could, in principle, miti gate some of the information-related problems that characterized the program in earlier years. However, a complete assessment of the likely impact of the new regulations on the perfor mance of SBICs must wait for future research. NOTES 'Initially, the Small Business Administration was estab lished as a temporary government agency to provide intermediate-term financing to small firms. In 1958, Congress made the SBA a permanent government agency. For a discussion, see Osborn (1975). T he SBA’s Statistical Package reports that 1,361 SBICs were licensed over the 1959-94 period. Of these, 455 (33 percent) were transferred into liquidation between 1967 and 1994. 3For example, bank failures generated losses to the FDIC of about $40 billion. For thrifts, the loss was near $200 billion, most of which was beyond the resources of the deposit insurer and was thus charged to taxpayers. For a discussion of the magnitude of the bank and thrift debacle of the 1980s, see Bartholomew (1993) and Kaufman (1995). Over the 1985-89 period, the cost to the FDIC to close failing commercial banks averaged about 17 cents per dollar of failed bank assets. See Barth, Brumbaugh, and Litan (1992) for a discussion of resolution costs associated with bank failures. For the now defunct Feder al Savings and Loan Insurance Corporation, the cost to close failing S&Ls averaged about 33 cents per dollar of assets over the 1985-89 period. See Barth (1991) for the numbers used to compute the cost per dollar of assets. 4In 1994, the SBA put into effect new regulations that were significantly different from those in effect over the 1986— 91 period. In this article, we focus on the regulation during the 1986-91 period. In 1976, the program was extended to include specialized SBICs (SSBICs) that provide funds to small firms owned by “economically disadvantaged per sons.” In this article, we focus only on regular SBICs, leaving an analysis of SSBICs for a future study. 5Under certain circumstances, SBICs can obtain up to $4 in SBA funds for every $1 of private capital, up to a maximum amount of $35 million. 6The general partners are usually liable for all obligations of a partnership. Thus, the liability structure offered by the SBA is a departure from this norm and offers a relief to general partners. 7If the SBIC provides a plan of divestiture, it can maintain a controlling interest in a small business up to seven years. 30 "Limits on interest rates that can be charged to small businesses are effective for all SBICs, whether or not they use SBA leverage. T he SBA’s SBIC Statistical Package reports that there were 335 reporting SBICs in 1986. l0Specifically, the financial statements pertain to the fiscal years 1987-92. "Our definition of SBIC failure is not exactly comparable with that used for banks and savings and loan associations (S&Ls). For SBICs, we define failure as liquidation, revocation, or voluntary surrender of license. Few, if any, banks or S&Ls voluntarily surrender their charters, and the numbers in figure 1 exclude these voluntary surren ders. If our definition of SBIC failure included only liquidations, the results would still indicate a higher failure rate for SBICs. ,2An SBIC is classified as bank-owned in any year in which at least 10 percent of its equity was controlled by a banking organization. Otherwise, the SBIC is classified as nonbank-owned. l3This would be true if the mean duration of equity investments was greater than the mean duration of debt investments. l4Sinkey (1975), Altman (1977), and Martin (1977) analyze financial ratios constructed from balance sheets and income statements to develop a system to help regula tors identify financially troubled institutions as early as possible. These financial ratios were grouped into five broad categories: capital adequacy, asset quality, manage ment competence, earnings, and liquidity. The same types of broad categories were used by Avery and Hanweck (1984), Barth et al. (1985), Benston (1985), and Gajewski (1989) to examine the likelihood of an institu tion’s closure. Cole (1993) examines economic insolven cy and closure using a larger number of financial factors than in the previous studies. For an excellent review of the literature on bank failure, see Demirgiic-Kunt (1989). 15The Herfindahl index is often used to measure competi tion in banking markets. It is calculated as the sum of the squares of deposit shares of all competitors in a market. ECONOMIC PERSPECTIVES If the index is equal to one, little or no diversification (or competition) in the market is present, and the smaller the index the more diversified (or competitive) the market. Here, HERFS1C2, for example, is calculated as the sum of squared shares of funding in a particular SIC code to the total fundings made by an SBIC over the 1982-92 period. Similarly, the shares of investments made by an SBIC by state are used to calculate the HERFGEO index. ,6Recall that H' RFGEO and HERFSIC2 are computed over the full ten-year period, 1983-92, as opposed to separately for each year. Our method implicitly as sumes a ten-year duration for the investments made by SBICs, whereas the year-by-year method assumes a one-year duration. l7Many failed SBICs are missing financial records for the year preceding failure. Consequently, we focus on twoyear ahead failure prediction in the models we present below. Once we discard the available observations per taining to the year before failure, as well as four observa tions with data problems, we have 1,102 observations, of which 414 (688) are classified as bank-owned (nonbankowned) SBICs. l8Our coefficient (standard error) estimates are -0.326 (0.044) on the SBATA variable and 0.119 (0.083) on the SBATA-PCOMP interaction variable. At the sample mean of PCOMP, which is 0.381, this implies a total coefficient of -0.281 on SBATA\ for SBICs with zero loans in their portfolios, the total coefficient is -0.326. Analyzing bank-owned and nonbank-owned SBICs separately, we find that the interaction coefficient is positive and significant at the 1 percent level for only the nonbank-owned SBICs. '’We controlled for macroeconomic conditions by includ ing the growth rate of real GDP in this regression, as well as in all the other regressions described in this section on prepayment restrictions; thus, time dummies are not included as in equation 3. 2l)We defined the interest rate spread as the difference between the interest rate received by the SBIC (interest income relative to interest-earning assets) and the interest rate paid by the SBIC (interest expenses relative to total debt owed by the SBIC). 2lWe recognize that we cannot exclude the possibility that a large difference may occur for some SBICs because they are currently poor performers that wish to avoid the scrutiny associated with refinancing. Though the SBA may not explicitly price risk when it sets interest rates on its debentures, it may indirectly penalize a poorly per forming SBIC in other ways when the SBIC requests new funding. "This analysis uses our original definition of SBIC failure. REFERENCES Altman, Edward I., “Predicting performance in the savings and loan association industry,” Journal of Monetary Economics, Vol. 3, No. 4, October 1977, pp. 443-466. Avery, Robert B., and Gerald Hanweck, “A dynamic analysis of bank failures,” Proceed ings of a Conference on Bank Structure and Competition, Federal Reserve Bank of Chica go, 1984, pp. 380-395. Barth, James R., The Great Savings and Loan Debacle, Washington, DC: The AEI Press, 1991. Barth, James R., R. Dan Brumbaugh, Jr., and Robert E. Litan, The Future of American Banking, New York: M. E. Sharpe, Inc., 1992. Barth, James R., R. Dan Brumbaugh, Jr., Daniel Sauerhaft, and George H. K. Wang, “Thrift institution failures: Causes and policy issues,” Proceedings o f a Conference on Bank Structure and Competition, Federal Reserve Bank of Chicago, 1985, pp. 184-216. FEDERAL RESERVE BANK OF CHICAGO Bartholomew, Philip F., Resolving the Thrift Crisis, Washington, DC: Congressional Budget Office, April 1993. Benston, George J., “An analysis of the causes of savings and loan association failure,” Mono graph Series in Finance and Economics, New York University, Salomon Brothers Center for the Study of Financial Institutions, 1985. Brewer, Elijah III, and Hesna Genay, “Small business investment companies: Financial characteristics and investments,” Journal of Small Business Management, Vol. 33, No. 3, July 1995, pp. 38-56. _________ , “Funding small businesses through the SBIC program,” Economic Perspectives, Federal Reserve Bank of Chicago, Vol. 18, No. 3, May/June 1994, pp. 22-34. Cole, Rebel A., “When are thrift institutions closed? An agency-theoretic model,” Journal of Financial Services Research, Vol. 7, No. 4, December 1993, pp. 283-307. 31 Demirgiic-Kunt, Asli, “Deposit institution failures: A review of empirical literature,” Economic Review, Federal Reserve Bank of Cleveland, Vol. 25, No. 4, Quarter 4, 1989, pp. 2-18. Gajewski, George R., “Assessing the risk of bank failure,” Proceedings of a Conference on Bank Structure and Competition, Federal Re serve Bank of Chicago, 1989, pp. 432-456. Kane, Edward J., The S&L Insurance Mess, Washington, DC: Urban Institute Press, 1989. __________, The Gathering Crisis in Federal Deposit Insurance, Cambridge, MA: MIT Press, 1985. Kaufman, George G., “The U.S. banking debacle of the 1980s: An overview and les sons,” The Financier: ACMT, May 1995, pp. 9-26. Osborn, Richard C., “Providing risk capital for small business: Experience of the SBICs,” Quarterly Review o f Economics and Business, Vol. 15, No. 1, Spring 1975, pp. 77-90. Sinkey, Joseph, “A multivariate statistical analysis of the characteristics of problem banks,” Journal o f Finance, Vol. 30, No. 1, March 1975, pp. 21-36. United States General Accounting Office, “Better oversight of SBIC programs could reduce federal losses,” Washington, DC: GAO, report, No. T-RCED-95-285, September 1995. __________, “Financial health of small busi ness investment companies,” Washington: GAO, report, No. RCED-93-51, May 1993. United States Small Business Administra tion, “SBIC statistical package,” 1995. Martin, Daniel, “Early warning of bank fail ure: A logit regression approach,” Journal of Banking and Finance, Vol. 1, No. 6, November 1977, pp. 249-276. 32 ECONOMIC PERSPECTIVES ECONOMIC PERSPECTIVES BULK RATE P u b lic In form ation C e n te r Federal Reserve Bank of Chicago P.O. 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